Integration from 0 to infinity x2 / (xsinx ecosx)2

2 years ago


Answers : (1)

                                        integral lim x=0 to infinity x^2/x^2sin^2xe^2cos^2x
=integral lim x=0 to infinity 1/sin^2xe^2cos^2x
=1/e^2integral lim x=0 to infinity4/(2sinxcosx)^2
=4/e^2integral lim x=0 to infinity dx/sin^2(2x)
=4/e^2 integral lim x=0 to infinity cosec^2(2x) dx
=4/e^2 [(-cot2x)/2] x=0 to infinity
=2/e^2[-cot infinity+ cot0]
Thanks & Regards
Rinkoo Gupta
AskIItians Faculty
5 months ago

Post Your Answer

More Questions On Integral Calculus

Ask Experts

Have any Question? Ask Experts
Post Question
Answer ‘n’ Earn
Attractive Gift
To Win!!!
Click Here for details
integrate the following integral ∫ sin x sqrt(1 – cos 2x) dx
Ans: Hello Student, Please find answer to your question below
Jitender Singh 9 days ago
Please calculate the integral limit is (0 to pi/4) ∫ln(1+tanx) dx
Dear student, We have: J = ∫ ln { 1 + tan [ (π/4) - x ] } dx ... on [0,π/4] ...= ∫ ln { 1 + [ ( 1 - tan x ) / ( 1 + tan x ) ] } dx ...= ∫ ln { 2 / ( 1 + tan x ) } dx ...=...
Sumit Majumdar one month ago
Evaluate lim(x->0) [∫(0 to x 2 ) sin(t) 1/2 dt/ x 3 ]
Ans: Hello Student, Please find answer to your question below It is 0/0 form. Apply L’hospital rule
Jitender Singh 16 days ago
Find the real values of the parameter ‘a’ for which atleast one complex number z =x+iy satisfies both the equality |z-ai|=a+4 and the inequality |z-2| is less than 1 .
Ans: Hello Student, Please find the answer to your question below For having atleast one solution for both the equation, the first circle should intersect with 2 nd circle on the x –...
Jitender Singh one month ago
first of all is not right as given in qus this is less than 1 not equal second thing this qus is from resonannce assignment and ans is (-21/10 ,- 5/6)
saurabh one month ago
A rocket moves horizontally with a constant velocity ‘u’ at a height ‘L’. A guided missile is fired vertically with a speed ‘v’ when the rocket passes above it. Assuming that the missile...
Hello Student, We’ll do this by concept of relativity. rel_dis=L rel_vel=v =>t=L/v Thanks & Regards Arun Kumar Btech, IIT Delhi Askiitians Faculty
Arun Kumar one month ago
Angle between pair of Staines x^2+2xy-y^2 is?
Dear student, If we compare this with the standard equation: ax 2 +2hxy+by 2 =0 We get, a =1, h = 1, b = -1 Hence using the formula: we get: Hence, Regards Sumit
Sumit Majumdar one month ago
View all Questions »